This second model is a slight variant of the first, in which we assign a specific \(\alpha\) to each predator. In doing so, we can isolate difference between predator, to check if some predator seems to be different from the whole. \[\begin{align}
F_{ij}^{real} &= \alpha_{j} * B_i * \frac{B_j}{M_j}
\end{align}\]
This model was fit with a hierarchy implemented on the alpha parameter. A global alpha was estimated, with 118 respective unique alphas for each predators.
## Warning: `gather_()` was deprecated in tidyr 1.2.0.
## Please use `gather()` instead.